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Finding the Fourth Proportional to 569,411.30, 785,750.15 and 327,654.86

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Solution

The fourth proportional to 569,411.30, 785,750.15 and 327,654.86 is: 452,142.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,411.30 : 785,750.15 = 327,654.86 : x
  2. Step 2: Convert to fraction form
    569,411.30/785,750.15 = 327,654.86/x
  3. Step 3: Cross multiply
    569,411.30x = 785,750.15 × 327,654.86
  4. Step 4: Simplify right side
    569,411.30x = 257,454,852,283.62
  5. Step 5: Solve for x
    x = 257,454,852,283.62/569,411.30
  6. Step 6: Final answer
    x = 452,142.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.